1. Ames, seeking business for his lawn maintenance firm, posted the following notice in the meeting room of the Antlers, a local lodge: "To the members of the Antlers— Special this month. I will resod your lawn for two dollars per square foot using Fairway brand sod. This offer expires July 15." The notice also included Ames’s name, address, and signature and specified that the acceptance was to be in writing. Bates, a member of the Antlers, and Cramer, the jani- tor, read the notice and became interested. Bates wrote a letter to Ames saying he would accept the offer if Ames would use Putting Green brand sod. Ames received this letter July 14 and wrote to Bates saying he would not use Putting Green sod. Bates received Ames’s letter on July 16 and promptly wrote Ames that he would accept Fair- way sod. Cramer wrote to Ames on July 10, saying he accepted Ames’s offer. By July 15, Ames had found more profitable ventures and refused to resod either lawn at the specified price. Bates and Cramer brought an appropriate action against Ames for breach of contract. Decisions as to the respec- tive claims of Bates and Cramer?

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e. g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.